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» Randomness extractors -- applications and constructions
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ECCC
1998
80views more  ECCC 1998»
13 years 7 months ago
Extracting All the Randomness from a Weakly Random Source
In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The rst extracts any constant fraction ...
Salil P. Vadhan
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 7 months ago
Pseudorandomness and Combinatorial Constructions
Abstract. In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constr...
Luca Trevisan
STOC
2005
ACM
147views Algorithms» more  STOC 2005»
14 years 7 months ago
Simulating independence: new constructions of condensers, ramsey graphs, dispersers, and extractors
We present new explicit constructions of deterministic randomness extractors, dispersers and related objects. We say that a distribution X on binary strings of length n is a -sour...
Boaz Barak, Guy Kindler, Ronen Shaltiel, Benny Sud...
CORR
2011
Springer
172views Education» more  CORR 2011»
13 years 2 months ago
Possibilities and impossibilities in Kolmogorov complexity extraction
Randomness extraction is the process of constructing a source of randomness of high quality from one or several sources of randomness of lower quality. The problem can be modeled ...
Marius Zimand
STOC
2006
ACM
116views Algorithms» more  STOC 2006»
14 years 7 months ago
Linear degree extractors and the inapproximability of max clique and chromatic number
: We derandomize results of H?astad (1999) and Feige and Kilian (1998) and show that for all > 0, approximating MAX CLIQUE and CHROMATIC NUMBER to within n1are NP-hard. We furt...
David Zuckerman